Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 310, 147, 810, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 147, 810, 157 is 1
GCD(310, 147, 810, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 147, 810, 157 is 1
GCD(310, 147, 810, 157) = 1
Given Input numbers are 310, 147, 810, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 310, 147, 810, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 147, 810, 157 is 1.
Therefore, GCD of numbers 310, 147, 810, 157 is 1
Given Input Data is 310, 147, 810, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 157 is 157
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(310, 147) = 45570
GCD(310, 147) = ( 310 x 147 ) / 45570
GCD(310, 147) = 45570 / 45570
GCD(310, 147) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 310, 147, 810, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 147, 810, 157?
GCD of 310, 147, 810, 157 is 1
2. Where do I get the detailed procedure to find GCD of 310, 147, 810, 157?
You can find a detailed procedure to find GCD of 310, 147, 810, 157 on our page.
3. How to find GCD of 310, 147, 810, 157 on a calculator?
You can find the GCD of 310, 147, 810, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.